Respuesta :

Answer:

50 square units.

Step-by-step explanation:

Given in the picture is a right angled triangle

The coordinates of A are (-9,10) and B are (7,-2) and C is (4,-6)

Given that BC = 5 units

AB = distance between A and B

=distance between two points (-9,10) and (7,-2)

=[tex]\sqrt{(-9-7)^2+(10+2)^2} =\sqrt{256+144} \\=20[/tex]

Thus if we consider BC as base then AB is the height

Area of triangle = 1/2 bh = 1/2 (5)(20)

= 50 square units

akposevictor

The area of the triangle is: 50 square units.

What is the Area of a Triangle?

Area of a triangle = 1/2(base × height).

Given right triangle ABC:

Base = BC = 5 units

Height = AB = ?

Using the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] to find AB:

Let,

A(-9, 10) = (x1, y1)

B(7, -2) = (x2, y2)

Thus:

[tex]AB = \sqrt{(7 -(-9))^2 + (-2 - 10)^2}\\\\AB = 20 $ units[/tex]

Area of triangle = 1/2(5 × 20) = 50 square units.

Learn more about the area of triangle on:

https://brainly.com/question/21735282

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